225093120 has 320 divisors, whose sum is σ = 848517120. Its totient is φ = 49840128.

The previous prime is 225093119. The next prime is 225093137. The reversal of 225093120 is 21390522.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2849241 + ... + 2849319.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 2^225093120 is an apocalyptic number.

225093120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424258560).

225093120 is an abundant number, since it is smaller than the sum of its proper divisors (623424000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225093120 is an equidigital number, since it uses as much as digits as its factorization.

225093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 225093120 is about 15003.1036789059. The cubic root of 225093120 is about 608.3040953400.

The spelling of 225093120 in words is "two hundred twenty-five million, ninety-three thousand, one hundred twenty".